Decays of scalar and pseudoscalar Higgs bosons into fermions: Two-loop QCD corrections to the Higgs-quark-antiquark amplitude

Journal Article · Tue Nov 01 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.096002· OSTI ID:20713880

Bernreuther, W; Heinesch, R ^[1]; Bonciani, R ^[2]; Gehrmann, T ^[3]; Mastrolia, P ^[4]; Remiddi, E ^[5]

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1. Institut fuer Theoretische Physik, RWTH Aachen, D-52056 Aachen (Germany)
2. Fakultaet fuer Mathematik und Physik, Albert-Ludwigs-Universitaet Freiburg, D-79104 Freiburg (Germany)
3. Institut fuer Theoretische Physik, Universitaet Zuerich, CH-8057 Zuerich (Switzerland)
4. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)
5. Dipartimento di Fisica dell'Universita di Bologna, and INFN, Sezione di Bologna, I-40126 Bologna (Italy)

As a first step in the aim of arriving at a differential description of neutral Higgs boson decays into heavy quarks, h{yields}QQX, to second order in the QCD coupling {alpha}{sub S}, we have computed the hQQ amplitude at the two-loop level in QCD for a general neutral Higgs boson which has both scalar and pseudoscalar couplings to quarks. This amplitude is given in terms of a scalar and a pseudoscalar vertex form factor, for which we present closed analytic expressions in terms of one-dimensional harmonic polylogarithms of maximum weight 4. The results hold for arbitrary four-momentum squared, q{sup 2}, of the Higgs boson and of the heavy-quark mass, m. Moreover, we derive the approximate expressions of these form factors near threshold and in the asymptotic regime m{sup 2}/q{sup 2}<<1.

• OSTI ID: 20713880
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 9 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B QUARKS
C QUARKS
CORRECTIONS
COUPLING
FORM FACTORS
HIGGS BOSONS
HIGGS MODEL
INTERMEDIATE BOSONS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE DECAY
QUANTUM CHROMODYNAMICS
REST MASS
SCALARS
T QUARKS